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Finding the Third Proportional to 101.46 and 218.71

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Solution

The third proportional to 101.46 and 218.71 is: 471.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.46 : 218.71 = 218.71 : x
  2. Step 2: Convert to fraction form
    101.46/218.71 = 218.71/x
  3. Step 3: Cross multiply
    101.46x = 218.71 × 218.71
  4. Step 4: Simplify right side
    101.46x = 47,832.41
  5. Step 5: Solve for x
    x = 47,832.41/101.46
  6. Step 6: Final answer
    x = 471.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.